The greatest common factor is the biggest factor that divides two different numbers. For example, the greatest common factor of 6 and 8 is 2. The least common multiple is the smallest number that two numbers share as a multiple. For example, 12 is a the lowest common multiple of 3 and 4.

Step-by-step explanation:

3 0

4 years ago

A standard roulette wheel has 38 numbered slots for a small ball to land in: 36 are marked from 1 to 36, with half of those blac

Anastasy [175]

Answer:

The expected value of betting $500 on red is $463.7.

Step-by-step explanation:

There is not a fair game. This can be demostrated by the expected value of betting a sum of money on red, for example.

The expected value is calculated as:

$E(G)=\sum p_iG_i$

being G the profit of each possible result.

If we bet $500, the possible outcomes are:

- Winning. We get G_w=$1,000. This happens when the roulette's ball falls in a red place. The probability of this can be calculated dividing the red slots (half of 36) by the total slots (38) of the roulette:

$P(R)=R/T=18/38\approx0.4737$

- Losing. We get G_l=$0. This happens when the ball does not fall in a red place. The probability of this is the complementary of winning, so we have:

$P(not \,R)=1-P(R)=1-18/38=20/38\approx 0.5263$

Then, we can calculate the expected value as:

$E(G)=\sum p_iG_i=p_wG_w+p_lG_l=0.4637*1,000+0.5263*0=463.7$

We expect to win $463.7 for every $500 we bet on red, so we are losing in average $36.3 per $500 bet.

4 0

3 years ago

Select all shapes that have a volume of \small 36\pi cubic units.

Gnesinka [82]

Answer:

Step-by-step explanation:

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:

Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:

Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.

Step 3:

Combine like terms: (18 + 24) squared = 30 squared.

Step 4:

Evaluate each side: 1764 not-equals 900.

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

5 0

3 years ago